Details
| Original language | English |
|---|---|
| Pages (from-to) | 1625-1633 |
| Number of pages | 9 |
| Journal | Computational materials science |
| Volume | 50 |
| Issue number | 5 |
| Publication status | Published - 8 Jan 2011 |
Abstract
A nonlocal cohesive zone model is derived taking into account the properties of finite thickness interfaces. The functional expression of the stress-separation relationship, which bridges the gap between continuum damage mechanics and nonlinear fracture mechanics, depends on the complex failure phenomena affecting the material microstructure of the interface region. More specifically, the shape of the nonlocal cohesive zone model is found to be dependent on the damage evolution. On the other hand, damage is in its turn a function of dissipative mechanisms occurring at lower length scales, such as dislocation motion, breaking of interatomic bonds, formation of free surfaces and microvoids, that are usually analyzed according to molecular dynamics. Hence, the relationship intercurring between the parameters of the damage law and the outcome of molecular dynamics simulations available in the literature is also established. Therefore, the proposed nonlocal cohesive zone model provides also the proper mathematical framework for interpreting molecular dynamics-based stress-separation relationships that are typically nonlocal, since they always refer to a finite number of atom layers.
Keywords
- Damage mechanics, Finite thickness interfaces, Molecular dynamics, Multiscale approach, Nonlinear fracture mechanics, Nonlocal cohesive zone model
ASJC Scopus subject areas
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In: Computational materials science, Vol. 50, No. 5, 08.01.2011, p. 1625-1633.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A nonlocal cohesive zone model for finite thickness interfaces - Part I
T2 - Mathematical formulation and validation with molecular dynamics
AU - Paggi, Marco
AU - Wriggers, Peter
N1 - Funding information: The first author would like to thank the Alexander von Humboldt Foundation for supporting his research fellowship at the Institut für Kontinuumsmechanik, Leibniz Universität Hannover (Hannover, Germany) from February 1, 2010 to January 31, 2011.
PY - 2011/1/8
Y1 - 2011/1/8
N2 - A nonlocal cohesive zone model is derived taking into account the properties of finite thickness interfaces. The functional expression of the stress-separation relationship, which bridges the gap between continuum damage mechanics and nonlinear fracture mechanics, depends on the complex failure phenomena affecting the material microstructure of the interface region. More specifically, the shape of the nonlocal cohesive zone model is found to be dependent on the damage evolution. On the other hand, damage is in its turn a function of dissipative mechanisms occurring at lower length scales, such as dislocation motion, breaking of interatomic bonds, formation of free surfaces and microvoids, that are usually analyzed according to molecular dynamics. Hence, the relationship intercurring between the parameters of the damage law and the outcome of molecular dynamics simulations available in the literature is also established. Therefore, the proposed nonlocal cohesive zone model provides also the proper mathematical framework for interpreting molecular dynamics-based stress-separation relationships that are typically nonlocal, since they always refer to a finite number of atom layers.
AB - A nonlocal cohesive zone model is derived taking into account the properties of finite thickness interfaces. The functional expression of the stress-separation relationship, which bridges the gap between continuum damage mechanics and nonlinear fracture mechanics, depends on the complex failure phenomena affecting the material microstructure of the interface region. More specifically, the shape of the nonlocal cohesive zone model is found to be dependent on the damage evolution. On the other hand, damage is in its turn a function of dissipative mechanisms occurring at lower length scales, such as dislocation motion, breaking of interatomic bonds, formation of free surfaces and microvoids, that are usually analyzed according to molecular dynamics. Hence, the relationship intercurring between the parameters of the damage law and the outcome of molecular dynamics simulations available in the literature is also established. Therefore, the proposed nonlocal cohesive zone model provides also the proper mathematical framework for interpreting molecular dynamics-based stress-separation relationships that are typically nonlocal, since they always refer to a finite number of atom layers.
KW - Damage mechanics
KW - Finite thickness interfaces
KW - Molecular dynamics
KW - Multiscale approach
KW - Nonlinear fracture mechanics
KW - Nonlocal cohesive zone model
UR - http://www.scopus.com/inward/record.url?scp=79952008243&partnerID=8YFLogxK
U2 - 10.1016/j.commatsci.2010.12.024
DO - 10.1016/j.commatsci.2010.12.024
M3 - Article
AN - SCOPUS:79952008243
VL - 50
SP - 1625
EP - 1633
JO - Computational materials science
JF - Computational materials science
SN - 0927-0256
IS - 5
ER -